Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

3,696.

Evaluate 101122 - 10122

A.

1100002

B.

1102

C.

11000002

D.

110002

Correct answer is C

101122 - 10122 = (1x23 + 0x22 + 1x21 + 1x20)2 - (1x22 + 0x21 + 1x22)2
(1x8 + 0x4 + 1x2 + 1x1) 2 - (1x4 + 0x2 + 1x1) 2)
= (8 + 0 + 2 + 1) 2 - (4 + 0 + 1) 2
= 112 - 52
= 16 x 6 = 96
9610 to base 2
2/96 = 48 R 0
2/48 = 24 R 0
2/24 = 12 R 0
2/12 = 6 R 0
2/6 = 3 R 0
2/3 = 1 R 1
2/1 = 0 R 1
11000002

3,697.

Given
P = {1, 3, 5, 7, 9, 11}
and Q = {2, 4, 6, 8, 10, 12}. Determine the relationship between P and Q

A.

P∩Q = ∅

B.

P ⊂ Q

C.

Q⊂P

D.

P = Q

Correct answer is A

P = {1, 3, 5, 7, 9, 11}
Q = {2, 4, 6, 8, 1, 12}
P∩Q = {1, 3, 5, 7, 9, 11}∩{2, 4, 6, 8, 1, 12}
= {} = ∅

3,698.

A man made a profit of 5% when he sold an article for N60,000.00. How much would he have sell the article to make a profit of 26%

A.

N68,000

B.

N72,000

C.

N65,000

D.

N70,000

Correct answer is B

5% profit = 100 + 5 = 105%
26% profit = 100 + 26 = 126%
∴ 105% → N60,000
1% → 60000/15
126% = 1000/105 x 126/1
=N72,000

3,699.

If log102 = x, express log1012.5 in terms of x

A.

2(1 + x)

B.

2 + 3x

C.

2(1 - x)

D.

2 - 3x

Correct answer is D

log1012.5 = log10 121/2
= log1025/2
= log1025 - log102
= log1052 - log102
= 2log105 - log102
= 2log1010/2 - log102
= 2(1-x)- x
= 2 - 2x – x
= 2 – 3x

3,700.

Simplify \(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\)

A.

\(\frac{4}{5}\)

B.

\(\frac{7}{10}\)

C.

\(\frac{6}{6}\)

D.

\(\frac{21}{6}\)

Correct answer is B

\(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\\
=\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \times \frac{9}{4}\right)\\
=\frac{3}{5} \div \frac{6}{7}\\
=\frac{3}{5} \times \frac{7}{6}\\
=\frac{7}{10}\)


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